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Question

Three of the following four letter-clusters are alike in a certain way and one is different.

Pick the odd one out.

This question was previously asked in
SSC CGL 2023 (Tier-II) Paper 1 Previous Year Paper (26-Oct-2023) (Shift-1)
The correct answer is

KNP

Finding the Odd Letter Cluster: IMR, KNP, CGX, FJU Analysis

This question asks us to identify the letter cluster that is different from the other three based on a specific pattern or rule. We are given four letter clusters: IMR, KNP, CGX, and FJU.

Analyzing Letter Positions in the Alphabet

To find the pattern, let's assign numerical positions to each letter of the alphabet, where A=1, B=2, C=3, and so on, up to Z=26.

Letter Cluster Letter Positions
IMR I=9, M=13, R=18
KNP K=11, N=14, P=16
CGX C=3, G=7, X=24
FJU F=6, J=10, U=21

Checking for Patterns: Difference Between Letters

Let's examine the difference in alphabetical positions between consecutive letters in each cluster.

  • For IMR:
    • Difference between the first and second letter (M - I): \( 13 - 9 = 4 \)
    • Difference between the second and third letter (R - M): \( 18 - 13 = 5 \)
    • Pattern for IMR: (+4, +5)
  • For KNP:
    • Difference between the first and second letter (N - K): \( 14 - 11 = 3 \)
    • Difference between the second and third letter (P - N): \( 16 - 14 = 2 \)
    • Pattern for KNP: (+3, +2)
  • For CGX:
    • Difference between the first and second letter (G - C): \( 7 - 3 = 4 \)
    • Difference between the second and third letter (X - G): \( 24 - 7 = 17 \)
    • Pattern for CGX: (+4, +17)
  • For FJU:
    • Difference between the first and second letter (J - F): \( 10 - 6 = 4 \)
    • Difference between the second and third letter (U - J): \( 21 - 10 = 11 \)
    • Pattern for FJU: (+4, +11)

Identifying the Odd One Out

Let's compare the patterns we found:

  • IMR: (+4, +5)
  • KNP: (+3, +2)
  • CGX: (+4, +17)
  • FJU: (+4, +11)

Looking at the difference between the first and second letters, we see the following:

  • IMR: The second letter (M) is 4 positions after the first letter (I).
  • KNP: The second letter (N) is 3 positions after the first letter (K).
  • CGX: The second letter (G) is 4 positions after the first letter (C).
  • FJU: The second letter (J) is 4 positions after the first letter (F).

Three of the letter clusters (IMR, CGX, and FJU) have a difference of +4 between their first and second letters. Only KNP has a different difference (+3) between its first and second letters.

Therefore, KNP is the letter cluster that is different from the others.

Revision Table: Letter Cluster Patterns

Letter Cluster Letter Positions 1st-2nd Difference 2nd-3rd Difference Pattern
IMR 9, 13, 18 \( 13 - 9 = 4 \) \( 18 - 13 = 5 \) +4, +5
KNP 11, 14, 16 \( 14 - 11 = 3 \) \( 16 - 14 = 2 \) +3, +2
CGX 3, 7, 24 \( 7 - 3 = 4 \) \( 24 - 7 = 17 \) +4, +17
FJU 6, 10, 21 \( 10 - 6 = 4 \) \( 21 - 10 = 11 \) +4, +11

The table clearly shows that KNP is the only cluster where the first difference is not +4.

Additional Information: Solving Letter Reasoning Questions

Letter reasoning questions, like finding the odd letter cluster, often rely on understanding the alphabet's structure and positions. Here are some common patterns to look for:

  • Alphabetical Position: The numerical position of letters (A=1, Z=26).
  • Differences/Sums: The difference or sum of positions between letters.
  • Skip Patterns: Skipping a fixed number of letters between consecutive letters.
  • Vowels/Consonants: Patterns based on whether letters are vowels (A, E, I, O, U) or consonants.
  • Reverse Alphabetical Position: Position counting backward from Z (Z=1, Y=2, etc.).
  • Symmetrical Positions: Letters equidistant from the beginning and end of the alphabet (A & Z, B & Y, etc.).

Analyzing these patterns helps identify the rule governing a series or group of letters and find the element that doesn't fit the pattern.

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